8072895768192 has 96 divisors (see below), whose sum is σ = 23348520975780. Its totient is φ = 2677305458688.

The previous prime is 8072895768149. The next prime is 8072895768253. The reversal of 8072895768192 is 2918675982708.

It can be written as a sum of positive squares in 2 ways, for example, as 6396326577216 + 1676569190976 = 2529096^2 + 1294824^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8072895768192.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17559153 + ... + 18013040.

Almost surely, 2^{8072895768192} is an apocalyptic number.

It is an amenable number.

8072895768192 is an abundant number, since it is smaller than the sum of its proper divisors (15275625207588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8072895768192 is a wasteful number, since it uses less digits than its factorization.

8072895768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35572410 (or 35572395 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 8072895768192 in words is "eight trillion, seventy-two billion, eight hundred ninety-five million, seven hundred sixty-eight thousand, one hundred ninety-two".